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Finding the Fourth Proportional to 15,663.20, 23,519.10 and 9,102.20

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Solution

The fourth proportional to 15,663.20, 23,519.10 and 9,102.20 is: 13,667.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,663.20 : 23,519.10 = 9,102.20 : x
  2. Step 2: Convert to fraction form
    15,663.20/23,519.10 = 9,102.20/x
  3. Step 3: Cross multiply
    15,663.20x = 23,519.10 × 9,102.20
  4. Step 4: Simplify right side
    15,663.20x = 214,075,552.02
  5. Step 5: Solve for x
    x = 214,075,552.02/15,663.20
  6. Step 6: Final answer
    x = 13,667.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.